Question

note: figure is not drawn to scale.
if ( h = 8 ) units and ( r = 3 ) units, then what is the volume of the cone shown above?
a. ( 72pi ) cubic units
b. ( 33pi ) cubic units
c. ( 24pi ) cubic units
d. ( 64pi ) cubic units

Explanation:

Step1: Recall the formula for the volume of a cone

The formula for the volume \( V \) of a cone is \( V=\frac{1}{3}\pi r^{2}h \), where \( r \) is the radius and \( h \) is the height.

Step2: Substitute the given values into the formula

Given \( r = 3 \) units and \( h=8 \) units. Substitute these values into the formula:

$$
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$$

Step3: Simplify the expression

First, calculate \( \frac{1}{3}\times9 = 3 \). Then \( 3\times8=24 \). So \( V = 24\pi \) cubic units.

Answer:

C. \( 24\pi \) cubic units